English

On bi-exactness of discrete quantum groups

Operator Algebras 2013-08-26 v1

Abstract

We define Ozawa's notion of bi-exactness to discrete quantum groups, and then prove some structural properties of associated von Neumann algebras. In particular, we prove that any non amenable subfactor of free quantum group von Neumann algebras, which is an image of a faithful normal conditional expectation, has no Cartan subalgebras.

Keywords

Cite

@article{arxiv.1308.5103,
  title  = {On bi-exactness of discrete quantum groups},
  author = {Yusuke Isono},
  journal= {arXiv preprint arXiv:1308.5103},
  year   = {2013}
}

Comments

23 pages

R2 v1 2026-06-22T01:13:56.984Z